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Finding the Third Proportional to 13,577 and 19,879

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Solution

The third proportional to 13,577 and 19,879 is: 29,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577 : 19,879 = 19,879 : x
  2. Step 2: Convert to fraction form
    13,577/19,879 = 19,879/x
  3. Step 3: Cross multiply
    13,577x = 19,879 × 19,879
  4. Step 4: Simplify right side
    13,577x = 395,174,641
  5. Step 5: Solve for x
    x = 395,174,641/13,577
  6. Step 6: Final answer
    x = 29,106.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.